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6.1 The primary variable(s) for an Euler-Bernoulli beam problem is/are _____.1. Displacement.
2. Displacement and slope.
3. Bending moment and shear force.
4. Rotation angle.
6.2 The secondary variable(s) for an Euler-Bernoulli beam problem is/are _______.1. Displacement.
2. Displacement and slope.
3. Bending moment and shear force.
4. Rotation angle.
6.3 Which of the following statements is not true about the Euler-Bernoulli beam theory?1. Cross-sections which are normal and plane to the longitudinal axis
remain normal and plane to it after bending of beam.
2. Shear deformations are small.
3. Beam deflections are small.
4. Euler-Bernoulli beam has lower stiffness compared to Timoshenko beam.
6.4 For an Euler-Bernoulli beam problem, the functional I (whose minimization will give us the correct solution) is the following physical quantity.
1. Kinetic Energy.
2. Potential Energy.
3. Strain Energy.
4. Thermal Energy.
1. Lagrangian functions.
2. Eulerian functions.
3. Hermite functions.
4. None of the above.
1. Φ2e = 0 at x = 0.
2. Φ2e’ = 0 at x = 0.
3. Φ2e = 0 at x = he.
4. Φ2e’ = 0 at x = he.
1. 1-3k2+2k3
2. 3k2 – 2k3
3. 1-4k2+5k3
4. 2k3-3k2
6.8 In an Euler-Bernoulli beam problem, for the quadratic element shown below
what will be the size of the element stiffness matrix?
1. 2X2
2. 4X4
3. 6X6
4. 8X8
6.9 Consider an Euler-Bernoulli beam as shown below –
For any node (say 1), u1 = w’ and u2 =w (where u1 and u2 are global displacements, w = local displacement and w’ = slope) which of the following statements is true?
1. U1 = u21
2. U2 = u22
3. U3 = u12
4. U3 = u22
6.10 Which of the following is the expression for the element stiffness matrix of the Euler-Bernoulli beam equation?
6.11 For the following matrix equation of a Euler-Bernoulli beam problem –[K]{u} = {f} + {Q} Which of the following statements is true?
1. {u} represents the bending moments and shear forces due to point load.
2. {u} represents the bending moments and shear forces due to distributed load.
3. {f} represents the bending moments and shear forces due to point load.
4. {f} represents the bending moments and shear forces due to distributed load.
6.12 For the following matrix equation of a Euler-Bernoulli beam problem –[K]{u} = {f} + {Q} Which of the following statements is true?
1. {u} represents the bending moments and shear forces due to point load.
2. {u} represents the bending moments and shear forces due to distributed load.
3. {Q} represents the bending moments and shear forces due to point load.
4. {Q} represents the bending moments and shear forces due to distributed load.
6.13 For an Euler-Bernoulli beam theory, which of the following statements is true?1. Large beam deflections are allowed.
2. Essential boundary conditions are related to displacement & slope.
3. Natural boundary conditions are related to slope & shear force.
4. Shear deformation is allowed.
6.14 Which of the following statements is not true for fixed (or clamped) beam?1. Displacement at fixed node = 0
2. Slope at fixed node = 0
3. Shear force at fixed node = 0
4. Moment at fixed node is unknown.
6.15 Which of the following statements is not true for free beam?1. Displacement at free end is unknown.
2. Slope at free end is unknown.
3. Shear force at free end = 0
4. Moment at free end is unknown.
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